Andrew Copp broke a tie with 6:33 remaining, and Kyle Connor had two goals and an assist for the Jets (29-23-5), who extended their point streak to five games (4-0-1). Connor Hellebuyck made 24 saves.
"Great, great pass by Jack Roslovic]*
Jonathan Toews got his 800th NHL point with an assist on Dominik Kubalik's goal 15 seconds into the first period. Toews has 341 goals and 459 assists in 928 NHL games, all with the Blackhawks.
"That's a nice steppingstone, nice to get a big number like that here in my hometown of Winnipeg," Toews said. "But unfortunately, we couldn't get the two points. We were looking good the first shift of the game. I thought it was going to be one of those nights, but I think they bounced back and obviously played their best late in the game."
Brandon Saad also scored, and Corey Crawford made 31 saves for Chicago (25-22-8), which opened a five-game road trip.
Saad redirected a pass from Patrick Kane and gave the Blackhawks a 2-0 lead at 10:58 of the first period.
"Just because we started off well, we obviously took our foot off the gas," Saad said. "They scored a nice shorthanded goal and kind of took it to us the rest of the game."